7,455,798

2 × 3² × 7 × 47 × 1259

Starting at 7,455,798, the Collatz iteration reaches 1 after 173 steps. The first transition is 3727899; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 47 × 1259

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,869,760

Proper Divisor Sum 11,413,962

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7455769 ← → #7455803

Radix Representation

Decimal	7455798
Binary	11100011100010000110110 (23 bits)
Octal	0o34342066
Hexadecimal	0x71C436

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1,259 1,974 2,518 2,961 3,777 5,922 7,554 8,813 11,331 17,626 22,662 26,439 52,878 59,173 79,317 118,346 158,634 177,519 355,038 414,211 532,557 828,422 1,065,114 1,242,633 2,485,266 3,727,899 7,455,798

Collatz Trajectory (173 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,455,798 3,727,899 11,183,698 5,591,849 16,775,548 8,387,774 4,193,887 12,581,662 6,290,831 18,872,494 9,436,247 28,308,742 14,154,371 42,463,114 21,231,557 63,694,672 31,847,336 15,923,668 7,961,834 3,980,917 11,942,752 5,971,376 2,985,688 1,492,844 746,422 373,211 1,119,634 559,817 1,679,452 839,726 419,863 1,259,590 629,795 1,889,386 944,693 2,834,080 1,417,040 708,520 354,260 177,130 88,565 265,696 132,848 66,424 33,212 16,606 8,303 24,910 12,455 37,366 18,683 56,050 28,025 84,076 42,038 21,019 63,058 31,529 94,588 47,294

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